Howtosignalprocessing
- What is the importance of poles?
- What does a pole mean in Laplace transform?
- What do imaginary poles mean?
- What is pole frequency?
What is the importance of poles?
Well, it is important because the North and South Poles are the two coldest climatic regions on Earth, and they affect the climate of the entire planet. The South Pole is located on a continent covered by an immense icecap. It is completely white and very cold, as is the ocean which surrounds it.
What does a pole mean in Laplace transform?
The poles (as you may remember from algebra) are the zeros of the polynomial in the denominator of the Laplace transform of the function. The poles are marked with an X on the complex plane. If you get a double pole (a double root of the polynomial in the denominator), then the X will be circled.
What do imaginary poles mean?
The physical meaning of the imaginary part is that it refers to purely sinusoidal signals and are constant "amplitude". The real part refers to signals for which the "amplitude" decays or grows exponentially.
What is pole frequency?
A pole frequency corresponds to a corner frequency at which the slope of the magnitude curve decreases by 20 dB/decade, and a zero corresponds to a corner frequency at which the slope increases by 20 dB/decade.
